The 33-year-old is has his heart set on remaining at the club he has played for since 1996, making more than 500 appearances for the Anfield team.
"I want to carry on playing but maybe in the future, that will be up to the club," he told Chinese reporters ahead of the club's tour to the far east this summer. "That's something I'll look at because you want to help Liverpool in anyway you can.
"I think we've seen two new young players in the last few weeks, [John] Flanagan and [Jack] Robinson at full-backs and Jay Spearing. The youth team is very good."
Carragher also praised Kenny Dalglish after his return to the manager's seat at Anfield.
He said: "Kenny has brought a lot of positivity to the club. He has been a great galvonising figure for the club."
Dalglish’s side will grace the fans in Singapore straight after a friendly game in Malaysia on July 16 before heading back to Liverpool.